Search a number
-
+
3420545400 = 2332521900303
BaseRepresentation
bin1100101111100001…
…0110000101111000
322211101100201011200
43023320112011320
524001124423100
61323230054200
7150523104366
oct31370260570
98741321150
103420545400
1114a5899428
127b564a360
1342686a57c
142463d8636
15150464e00
hexcbe16178

3420545400 has 72 divisors (see below), whose sum is σ = 11487337680. Its totient is φ = 912144960.

The previous prime is 3420545377. The next prime is 3420545407. The reversal of 3420545400 is 45450243.

3420545400 is a `hidden beast` number, since 3 + 4 + 205 + 454 + 0 + 0 = 666.

3420545400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×34205454002 = 23400261666922320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420545407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 948352 + ... + 951951.

Almost surely, 23420545400 is an apocalyptic number.

3420545400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420545400 is an abundant number, since it is smaller than the sum of its proper divisors (8066792280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3420545400 is a wasteful number, since it uses less digits than its factorization.

3420545400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900325 (or 1900313 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 3420545400 is about 58485.4289545695. The cubic root of 3420545400 is about 1506.7173399913.

Adding to 3420545400 its reverse (45450243), we get a palindrome (3465995643).

The spelling of 3420545400 in words is "three billion, four hundred twenty million, five hundred forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1900303 3800606 5700909 7601212 9501515 11401818 15202424 17102727 19003030 22803636 28504545 34205454 38006060 45607272 47507575 57009090 68410908 76012120 85513635 95015150 114018180 136821816 142522725 171027270 190030300 228036360 285045450 342054540 380060600 427568175 570090900 684109080 855136350 1140181800 1710272700 3420545400